2020
DOI: 10.1140/epjc/s10052-020-7918-6
|View full text |Cite
|
Sign up to set email alerts
|

Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Abstract: We analyze the model of a self-interacting $$\phi ^4_{\star }$$ϕ⋆4 scalar field theory in Snyder–de Sitter space. After analytically computing the one-loop beta functions in the small noncommutativity and curvature limit, we solve numerically the corresponding system of differential equations, showing that in this limit the model possesses at least one regime in which the theory is asymptotically free. Moreover, in a given region of the parameter space we also observe a peculiar running of the parameter associ… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
17
1

Year Published

2020
2020
2023
2023

Publication Types

Select...
8
2

Relationship

1
9

Authors

Journals

citations
Cited by 27 publications
(19 citation statements)
references
References 38 publications
1
17
1
Order By: Relevance
“…That is to say, our result in this work neither agrees with Lake et al [16] nor with Park [11] (also not with the anti-Snyder-de Sitter model of Mignemi [17,18]). In fact, there are at least three distinct possibilities:…”
Section: The Sign Of Extended Uncertainty Principle Parametercontrasting
confidence: 98%
“…That is to say, our result in this work neither agrees with Lake et al [16] nor with Park [11] (also not with the anti-Snyder-de Sitter model of Mignemi [17,18]). In fact, there are at least three distinct possibilities:…”
Section: The Sign Of Extended Uncertainty Principle Parametercontrasting
confidence: 98%
“…[59][60][61][62] suggesting larger H 0 values in the light of observational analyses when the Brans-Dicke theory or its extensions are considered. There is a wide range of examples, related to these three possibilities, that exist (i) in theories in which relaxes from a large initial value via an adjustment mechanism [63][64][65], (ii) in the models in which itself spontaneously switches sign [42,66], (iii) in cosmological models based on Gauss-Bonnet gravity [67], (iv) in braneworld models [68,69], (v) in loop quantum cosmology [70,71], (vi) in higher-dimensional cosmologies that accommodate dynamical reduction of the internal space [72][73][74][75], (vii) in generalisations of the form of the matter Lagrangian in a non-linear way [76][77][78], (viii) in some constructions within the unimodular gravity violating the local energy-momentum conservation law [44].…”
Section: Introductionmentioning
confidence: 99%
“…The SdS phase space can be realized in 6-dimensional space as SO (1, 5 [25]. Recently, many authors have condensed their studies on the discussions over the deformed canonical commutation relations [25][26][27][28][29][30][31][32][33][34][35][36][37].…”
Section: Introductionmentioning
confidence: 99%